Given numbers are 5301,9993

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 5301,9993 is 17657631.

Find LCM of 5301,9993 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 1767 x 3331 = 17657631

Therefore, the lowest common multiple of 5301,9993 is 17657631.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

5301 x 9993 = 52972893

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

5301 : 1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301

9993 : 1, 3, 3331, 9993

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5301,9993, is 3.

Now, the common factors can be found like this.

5301:3x 3x 19x 31

9993:3x 3331

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 52972893/(3x1)

LCM = 52972893/3

LCM = 17657631

Thus, we can understand that the LCM of 5301,9993 is 17657631.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 8269, 8301
• LCM of 5730, 6512
• LCM of 7012, 1473
• LCM of 2488, 8453
• LCM of 6639, 4581

1. What is the LCM of 5301, 9993?

Answer: LCM of 5301, 9993 is 17657631.

2. How to calculate the LCM of 5301, 9993?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 5301, 9993.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.